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Ace the AP Computer Science Exam for High Schoolers

Solution Review: Visualize a Triangle in a Circle

Explore how to calculate the area of a triangle within a circle by applying Java Math class methods like sqrt and pow. Learn to implement the formula step-by-step and understand how to return and print the calculated area in Java.

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Rubric criteria

Solution

Java
class Visualize

{

    public static void main(String args[]) 

    {

        System.out.println("Area: " + area(2.6, 2));



        System.out.println("Area: " + area(11.7, 6));

    }

    

    // Method to calculate area

    public static double area(double QRside, int radius) 

    {

        double x = Math.sqrt(Math.pow(radius, 2) - Math.pow((QRside/2), 2));

        return 0.5 * QRside * (radius + x);      

    }

}

Rubric-wise explanation

Point 1:

Look at line 11. We declare the header of the area method: public static double area(double QRside, int radius). It returns the area (double). According to the formula:

area=12∗base∗(radius+x)area = \frac{1}{2} * base * (radius + x )

Where

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